/usr/bin/ltsp-arch-debian-edu is in debian-edu-config 1.818+deb8u2.
This file is owned by root:root, with mode 0o755.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 | #!/bin/sh
LC_ALL=C
export LC_ALL
arch="$(/usr/bin/dpkg --print-architecture)"
if [ 'amd64' = "$arch" ] ; then
/bin/echo i386
else
echo "$arch"
fi
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